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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On evaluation of moments of $K_{\nu }(t)/I_{\nu }(t)$
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by Chih Bing Ling and Jung Lin PDF
Math. Comp. 26 (1972), 529-537 Request permission

Abstract:

This paper presents a method of evaluation of the moments of ${K_\nu }(t)/{I_\nu }(t)$. Two pairs of expressions, each consisting of two series, are obtained according to the index being an even or an odd integer. The method is an extension of the method used by Watson. Values are tabulated to 12D for $\nu = 0(1)2$.
References
    J. A. Roberts, β€œComputation of moments of ${K_\nu }(t)/{I_\nu }(t)$,” Math. Comp., v. 19, 1965, pp. 651-654. G. N. Watson, β€œThe use of series of Bessel functions in problems connected with cylindrical wind-tunnels,” Proc. Roy. Soc. London Ser. A, v. 130, 1930, pp. 29-37.
  • Chih Bing Ling and Jung Lin, A new method of evaluation of Howland integrals, Math. Comp. 25 (1971), 331–337. MR 295537, DOI 10.1090/S0025-5718-1971-0295537-2
    • C. B. Ling & J. Lin, β€œA table of sine integral ${\text {Si}}(n\pi /2)$,” Math. Comp., v. 25, 1971, p. 402 (Review.) H. T. Davis & W. J. Kirkham, β€œA new table of zeros of Bessel functions ${J_0}(x)$ and ${J_1}(x)$ with corresponding values of ${J_1}(x)$ and ${J_0}(x)$,” Bull. Amer. Math. Soc., v. 33, 1927, pp. 760-772; Erratum: ${J_1}({j_{0,4}})$, for 98214 read 98314. British Association Mathematical Tables. Vol. 6. Bessel Functions, Cambridge Univ. Press, Cambridge, 1958, pp. 171-173.
  • Bessel functions. Part III: Zeros and associated values, Royal Society Mathematical Tables, Vol. 7, Cambridge University Press, New York, 1960. Prepared under the direction of the Bessel Functions Panel of the Mathematical Tables Committee. MR 0119441
    • H. Brenner & R. M. Sonshine, β€œSlow viscous rotation of a sphere in a circular cylinder,” Quart. J. Mech. Appl. Math., v. 17, 1964, pp 55-63.
  • W. R. Smythe, Charged spheroid in cylinder, J. Mathematical Phys. 4 (1963), 833–837. MR 149819, DOI 10.1063/1.1724326
  • Chih-Bing Ling, Torsion of a circular cylinder having a spherical cavity, Quart. Appl. Math. 10 (1952), 149–156. MR 47498, DOI 10.1090/S0033-569X-1952-47498-2
  • Ian N. Sneddon, Mixed boundary value problems in potential theory, North-Holland Publishing Co., Amsterdam; Interscience Publishers John Wiley & Sons, Inc., New York, 1966. MR 0216018
  • G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 529-537
  • MSC: Primary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-1972-0305553-0
  • MathSciNet review: 0305553